[Resource Topic] 2016/193: Security considerations for Galois non-dual RLWE families

Welcome to the resource topic for 2016/193

Title:
Security considerations for Galois non-dual RLWE families

Authors: Hao Chen, Kristin Lauter, Katherine E. Stange

Abstract:

We explore further the hardness of the non-dual discrete variant of the Ring-LWE problem for various number rings, give improved attacks for certain rings satisfying some additional assumptions, construct a new family of vulnerable Galois number fields, and apply some number theoretic results on Gauss sums to deduce the likely failure of these attacks for 2-power cyclotomic rings and unramified moduli.

ePrint: https://eprint.iacr.org/2016/193

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